2.081J/16.230J Plates and Shells Self-Evaluation Quiz

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2.081J/16.230J Plates and Shells
Self-Evaluation Quiz
Wednesday, March 1
Problem 1 Write in the expanded form:
(a) Mαβ καβ
(b) w,αβ
(c) εαβ δ αβ
(d) w,α w,β
(e) w,αβαβ
Problem 2 Compare the bending rigidity of a beam EI and that of a plate D,
and point out the difference in terms of dimensional quantity and material
parameters.
Problem 3 What is the buckling coefficient for the square plate clamped on all
four edges? See the graph on Section 4.3.3.
Problem 4 A square simply supported plate is loaded by a point force P at the
center. Determine the load-deflection relationship (P vs. w0 ) using the
energy method. [Hint:Assume the sinusoidal shape for the deflection, the
same as in Problem #1 of Homework #2.]
1
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